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Finding the Third Proportional to 183,676 and 283,703

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Solution

The third proportional to 183,676 and 283,703 is: 438,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,676 : 283,703 = 283,703 : x
  2. Step 2: Convert to fraction form
    183,676/283,703 = 283,703/x
  3. Step 3: Cross multiply
    183,676x = 283,703 × 283,703
  4. Step 4: Simplify right side
    183,676x = 80,487,392,209
  5. Step 5: Solve for x
    x = 80,487,392,209/183,676
  6. Step 6: Final answer
    x = 438,203.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.